Stabilité de la solution d'un problème de Neumann pour des variations de frontière

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• 作者：Bucur ; Dorin ; Varchon ; Nicolas
• 刊名：Comptes Rendus de l'Academie des Sciences Series I Mathematics
• 出版年：2000
• 出版时间：September 1, 2000
• 年：2000
• 卷：331
• 期：5
• 页码：371-374
• 全文大小：127 K

文摘

We give a stability result for the solution of a two-dimensional elliptic problem with Neumann boundary conditions with respect to the geometric domain variation. The perturbations are given in the Hausdorff topology and the stability holds if two conditions are satisfied: the number of the connected components of the complement of the variable domain is uniformly bounded and the Lebesgue measure is stable.